Answer:
B
Step-by-step explanation:
Factors are the two numbers which you multiply to get your product which is the equivalent of a sum in multiplication terms. You are multiplying two and nine in this scenario so they'd be the factors.
3√27+10 What is the value of the expression?
Answer:
Exact Form:
9
√
3
+
10
Decimal Form:
25.58845726
Step-by-step explanation:
The product of x and 6 is less than or equal to -17.
In a lab, a colony of 100 bacteria is placed on a petri dish. The population triples every hour.
1. How would you estimate the population of bacteria in. Make the minutes into a decimal and tell me what to substitute. Be specific on what you would do
a. 90 minutes?
b. 30 minutes?
2. How would you estimate the number of hours it would take the population to grow to 1,000 bacteria. Be specific on what you would do.
Reply as answers 1a, 1b, 2.
Answer:
1.a 519.615
1.b 173.21
2. It would take approximately 2.1 minutes
Step-by-step explanation:
If the population triples every hour then after one hour the population must be:
population(0) = 100
population(1) = 100*3 = population(0)*3
After two hours:
population(2) = population(1)*3 = population(0)*3*3 = population(0)*3²
After three hours:
population(3) = population(2)*3 = population(0)*3²*3 = population(0)*3³
Therefore the equation that will model the growth of the population is:
population(n) = 100*3^n
1. a.
We first need to convert the time from minutes to hours, to do that we must divide by 60. We have:
time = 90/60 = 1.5
We then apply this value in the "n" from the equation above:
population(1.5) = 100*3^(1.5) = 519.615
1.b.
We have to follow the same steps as before:
time = 30/60 = 0.5
population(0.5) = 100*3^(0.5) = 173.21
2.
We now use the same equation as before, but we want to solve for n isntead of "population". We have:
1000 = 100*(3^n)
100*(3^n) = 1000
3^n = 1000/100
3^n = 10
ln(3^n) = ln(10)
n*ln(3) = ln(10)
n = ln(10)/ln(3) = 2.095
It would take approximately 2.1 minutes
The following octagon is formed by removing four congruent right triangles from a rectangle. What is the total area of
the octagon?
44 cm 2
52 cm 2
10 cm 2
58 cm 2
10cm^
To find the total area of the octagon, we need to find the area of the rectangle and subtract the areas of the four congruent right triangles that were removed.
Let's assume the length of the rectangle is L and the width is W.
The area of the rectangle is L * W.
The two smaller sides of the right triangle are congruent to the width of the rectangle, which is W. The hypotenuse of each right triangle is congruent to the length of the rectangle, which is L.
The area of a right triangle is (base * height) / 2. In this case, the base is W and the height is L.
So, the area of one right triangle is (W * L) / 2.
Since there are four congruent right triangles, the total area of the right triangles is 4 * (W * L) / 2 = 2 * (W * L).
Therefore, the total area of the octagon is (L * W) - 2 * (W * L).
The total area of the octagon = L * W - 2 * W * L.
We don't know the actual values of L and W, so we cannot calculate the exact area. However, we can simplify the expression.
The total area of the octagon = L * W - 2 * W * L = LW - 2WL = LW - 2WL = LW - 2WL = LW.
Therefore, the total area of the octagon is equal to the area of the rectangle.
MARKING BRAINLIEST
Desiree has a box of grease pencils. 8 are green, 10 are yellow, 9 are brown, and 5 are blue. What is
the probability of Desiree selecting a green grease pencil at random, replacing it back into the box, and
then selecting a yellow grease pencil?
a 5/62
b 18/64
c 5/64
d 6/20
Step-by-step explanation:
Total marbles = 8 + 9 + 10 + 5 = 32.
Probability of green pencil= 8 / 32 = 1 / 4
Probability of yellow = 10 / 32 = 5 / 16
Which statement is true about
triangle PQR?
The sum of the measures of ZP. ZQ. and ZR
is 360°
The sum of the measures of ZP, ZQ, and ZR
is 180°
The measure of ZQ is greater than the sum of
the measures of ZP and ZR.
The measure of ZP equals the sum of the
measures of ZQ and ZR.
Answer:
option 2
Step-by-step explanation:
The sum of all the three angles of a triangle is 180°
Please please please please please please thank please please please help me please ASAP
Answer:
4
Step-by-step explanation:
3x^2 + 2(y-1)/x+y^2
3(4)^2 + 2(3-1)/4+3^2
3x16+2x2/4+9
48+4/13
52/13
4
The lowest point of elevation in the United States is at Death Valley National Park in California at 282 feet below sea level. The Dead Sea in Israel is 1,360 feet below sea level. Write a division expression that could be used to find how many times greater the Dead Sea lies below sea level than Death Valley. Then determine how many times greater. Round to the nearest whole number.
Answer:437
Step-by-step explanation:I took the test
Dependent or Independent
Answer:in
Step-by-step explanation:
Find the exact area of circumference of a circle whose diameter is 8 meters. Show your work
Answer:
Circumference: 25.12
Step-by-step explanation:
Circumference = 2[tex]\pi r[/tex] or [tex]\pi d[/tex]. ( r stands for radius and d for diameter) Since pi is 3.14, 8 times 3.14 is 25.12.
3.14
x 8
25.12
(If you mean area of the circle its 50.24, circumference times 2)
Answer: 50.24
Step-by-step explanation: The circumference formula is pi (3.14) times diameter, in your case 8.
3.14 x 8 = 25.12
Find the area of the rhombus.
Answer:
Area of rhombus = 24 m²
Step-by-step explanation:
Diagonal of rhombus is given as:
[tex] D_{1} [/tex] = 6 m
[tex] D_{2} [/tex] = 8 m
[tex]Area \: of \: rhombus = \frac{D_{1}D_{2}}{2} \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \frac{6 \times 8}{2} \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 3 \times 8 \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 24 {m}^{2} [/tex]
what are the dimensions of a square with a perimeter of 48 inches
Answer:
Each side is 12 inches long. The area is 144 square inches.
Answer:
12 by 12 inches
Step-by-step explanation:
12 times 4 (congruent) sides =48
Find the area of the trapezoid
Answer:
64 ft
Step-by-step explanation:
Mr. Massy started baking cupcakes at 7:15 a.m. The cupcakes finished baking at 7:40 a.m. How long did it take the cupcakes to bake?
Answer:
25 minutes
Step-by-step explanation:
If the cupcakes started baking at 7:15, then it takes 25 minutes to get to 7:40.
Answer:
he took 25 min
Step-by-step explanation:
40-15 =25
Can someone help me find the solution or coordinates of these equations algebraically ?
y= -x^2 +4
y= 3x+4
Answer:
The solutions are (0, 4) and (-3, -5).
Step-by-step explanation:
Yes, first substitute y = 3x + 4 in the first equation:
3x + 4 = -x^2 + 4
x^2 + 3x = 0
x(x + 3) = 0
x = 0, -3
When x = 0 , y = -(0)^2 + 4 = 4 and
when x = -3 , y = -(-3)^2 + 4 = -9 + 4 = -5.
Solve the equation
8/x + 3 = 1/x + 1
Answer: I got the answer of -7/2
Step-by-step explanation:
8
x
+3=
1
x
+1
Multiply all terms by x and cancel:
8+3x=1+1x
3x+8=x+1(Simplify both sides of the equation)
3x+8−x=x+1−x(Subtract x from both sides)
2x+8=1
2x+8−8=1−8(Subtract 8 from both sides)
2x=−7
2x
2
=
−7
2
(Divide both sides by 2)
x=
−7
2
Check answers. (Plug them in to make sure they work.)
x=
−7 /2
(Works in original equation)
Answer: -7/2
Using multiplication, the equation has the solution is -7/2.
What is multiplication?
The multiplication is "the process of multiplying one number is to multiply to its certain number of times".
According to the question,
[tex]\frac{8}{x} + 3 = \frac{1}{x} +1[/tex]
[tex]\frac{(8+3x)}{x} = \frac{1+x}{x}[/tex]
8 + 3x = 1 + x [By cancel 'x' on both denominator]
8 - 1 = x - 3x
7 = -2x
x = - [tex]\frac{7}{2}[/tex]
Hence, using multiplication the equation has the solution is -7/2.
Learn more about multiplication here
https://brainly.com/question/9813637
#SPJ2
Vector bought 15.6 pounds of paintballs. All
together, the balls cost $35.99. About how
much did the paintballs cost per pound?
Answer:
$2.31
Step-by-step explanation:
$35.99/15.6=$2.31
Circle O has a circumference of 36 cm.
What is the length of the radius, m?
06 cm
18 cm
36 cm
72 cm
Answer:
5.73 The closest answer is probably 6
Step-by-step explanation:
Answer: The radius is 5.73 CM so the answer is A, 6.
Step-by-step explanation: The radius is equal to one half the diameter
Pi times the diameter equals the circumfrence. so we do
36/3.14/2
I need help with 5 and 6
there are 12 inches in 1 foot
write an equation to find the number of inches in any number of feet
Answer:
divide the number of inches by 12
Step-by-step explanation:
(1/3)^3 Evaluate the expression. This question is designed to test your intelligence.
Answer:
1/27
Step-by-step explanation:
That means
1/3 * 1/3 * 1/3
1/9 * 1/3
1/27
Answer:
1/27
Step-by-step explanation:
(1/3)^3
1/3*1/3*1/3
1/27
URGENT PLEASE HELP
Points j and k, plotted on the coordinate grid, are 2 vertices of rectangle j,k,l,m. Rectangle j,k,l,m has an area of 7 square units. Point j is located at (2,1) and point k is located at (-5,1) each vertex of the rectangle is located at a point that had integer coordinates. Which could be another vertex of the rectangle?
A: (-5,0)
B: (-5,2)
C: (1,1)
D: (2,-6)
E: (2,0)
F: (9,1)
G: (2,2)
Answer:
16 square unitsStep-by-step
Step-by-step explanation:
Find the value of F and
S. Round the answer to the nearest hundredth.
Answer:
F = 1/2 OF 143
S = 1/2 OF 55 or 60
Step-by-step explanation:
did the math
What is the domain of the function y= sqrt x
Answer:
So the domian of square root of x will be All real numbers greater than or equal to 0.
This can be expressed as:
[0 , ∞)
or
x ≥ 0
Answer: [tex]x\geq 0[/tex]
Step-by-step explanation:
[tex]y=\sqrt{x}[/tex]
Taking into consideration that the square root must always be equal to or greater than zero to avoid negative numbers, we conclude that the domain is;
[tex]x\geq 0[/tex]
I NEED HELP PLZZZZZZZ !!!!!!!!!!!!!!!!!!!!!!!!
Answer:
6.28 yards
Step-by-step explanation:
C=3.14(2 yards)
Answer:
6.28 is the answer
Maria’s height while jumping on a trampoline can be given by the equation: -16^2+16x+5
Answer:
-207.507490745
In quadrilateral PQRS, PQ = QR = RS = SP, PR = 14, and QS = 48. Find the perimeter of PQRS.
Answer:
100 units
Step-by-step explanation:
Lengths of diagonals:
PR = 14
QS = 48
Since all 4 sides are equal in length, it's a rhombus
Length of each side:
sqrt[(14/2)² + (48/2)²]
sqrt(625)
25
Perimeter = 4 × 25
= 100
The side length of the rhombus is 25 units. Then the perimeter of the rhombus PQRS will be 100 units.
What is the perimeter of the shape?The complete stretch of a shape's border is referred to as the perimeter in geometry. A shape's periphery is calculated by summing the lengths of all of its sides and borders. Its dimensions are expressed in linear units like centimeters, meters, inches, and feet.
In quadrilateral PQRS, PQ = QR = RS = SP, PR = 14, and QS = 48. The diagonal of the rhombus intersect at a right angle. Then the side length of the rhombus is given as,
a² = (14 / 2)² + (48 / 2)²
a² = 49 + 576
a² = 625
a = 25
Then the perimeter of PQRS will be given as,
P = 4a
P = 4 x 25
P = 100 units
The side length of the rhombus is 25 units. Then the perimeter of the rhombus PQRS will be 100 units.
More about the perimeter of the shape link is given below.
https://brainly.com/question/28161250
#SPJ2
what is the additive inverse of 129/7?
Answer:
-129/7
Step-by-step explanation:
The additive inverse of a number is what you add to a number to create the sum of zero
129/7 + x = 0
It is the opposite of 129/7
-129/7
a large triangular piece of canvas is being used to shade a playground. The canvas measures 27 meters in height and has a base of 23 meters. how many square meters will the canvas cover
Answer:621
Step-by-step explanation:
27*23
Although. Don't. Trust. it
Answer:
621
Step-by-step explanation:
23 times 27 = answer
Can I get an example of systems of equations that represent the solution of this situation below? (It doesn't need to be solved.) Thank you! ^ ^
"1 taco and 1 burrito costs $11. 10 tacos and 5 burritos cost $80. How much is the cost of one burrito?" (x = the cost of a taco, and y = the cost of a burrito)
Answer:
x + y = 11
10x + 5y = 80
Step-by-step explanation:
